Soliton, kink and antikink solutions of a 2-component of the Degasperis-Procesi equation

DOI10.1016/j.nonrwa.2009.08.009zbMath1196.35196arXiv0909.0659OpenAlexW2038835637MaRDI QIDQ984536

Jiangbo Zhou, Lixin Tian, Xinghua Fan

Publication date: 20 July 2010

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.0659

zbMATH Keywords

solitonkink solutionbifurcation methodantikink solution2-component of the Degasperis-Procesi equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Bifurcation problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K50) Traveling wave solutions (35C07) Soliton solutions (35C08)

Related Items (10)

A generalized two-component Camassa-Holm system with complex nonlinear terms and Waltzing peakons ⋮ Peakon, loop and solitary travelling wave solutions for the general modified CH-DP equation ⋮ Extension on bifurcations of traveling wave solutions for a two-component Fornberg-Whitham equation ⋮ Traveling wave solutions of a generalized Zakharov-Kuznetsov equation ⋮ Bifurcations of traveling wave solutions for a two-component Fornberg-Whitham equation ⋮ Persistence properties of solutions to the dissipative 2-component Degasperis-Procesi system ⋮ Loop solutions, breaking kink (or anti-kink) wave solutions, solitary wave solutions and periodic wave solutions for the two-component Degasperis-Procesi equation ⋮ Solitary-wave solutions to a dual equation of the Kaup-Boussinesq system ⋮ The well-posedness, blow-up, and traveling waves for a two-component Fornberg–Whitham system ⋮ The Cauchy problem for a dissipative periodic 2-component Degasperis-Procesi system

Cites Work

• Unnamed Item
• A note on solitary waves for modified forms of Camassa-Holm and Degasperis-Procesi equations
• Soliton solution of the osmosis \(K(2,2)\) equation
• Modified nonlinearly dispersive \(mK(m,n,k)\) equations: I. New compacton solutions and solitary pattern solutions
• 1-soliton solution of the \(K(m,n)\) equation with generalized evolution
• A new type of bounded waves for Degasperis-Procesi equation
• Formation and dynamics of shock waves in the Degasperis-Procesi equation
• Cusp and loop soliton solutions of short-wave models for the Camassa-Holm and Degasperis-Procesi equations
• The bifurcation and peakon for Degasperis-Procesi equation
• Exact loop solutions, cusp solutions, solitary wave solutions and periodic wave solutions for the special CH-DP equation
• Traveling wave solutions of the Degasperis-Procesi equation
• Compact and noncompact structures for a variant of KdV equation in higher dimensions
• Periodic and solitary-wave solutions of the Degasperis-Procesi equation
• M-shape peakons, dehisced solitons, cuspons and new 1-peak solitons for the Degasperis-Procesi equation
• Cusped solitons of the Camassa-Holm equation. I: Cuspon solitary wave and antipeakon limit
• Bifurcations of smooth and non-smooth travelling wave solutions in the generalized Camassa-Holm equation
• Construction of solitary solution and compacton-like solution by variational iteration method
• The N -soliton solution of the Degasperis–Procesi equation
• Multi-peakon solutions of the Degasperis–Procesi equation
• Multisoliton solutions of the Degasperis–Procesi equation and their peakon limit

This page was built for publication: Soliton, kink and antikink solutions of a 2-component of the Degasperis-Procesi equation